A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

50 m
150 m
200 m
Data inadequate

Correct Answer: 150 m

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then,	x	= 15 ⟹ y =	x	.
	y		15

∴	x + 100	=	x
	25		15

⟹ 15(x + 100) = 25x

⟹ 15x + 1500 = 25x

⟹ 1500 = 10x

⟹ x = 150 m.

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